Information propagation and equilibration in long-range Kitaev chainsInformation propagation and equilibration in long-range Kitaev chains
Faculty of Sciences. Physics
Theory of quantum systems and complex systems
PHYSICAL REVIEW A
93(2016):3, 6 p.
University of Antwerp
We study the propagation of information through a Kitaev chain with long-range pairing interactions. Although the Lieb-Robinson bound is violated in the strict sense for long-range interacting systems, we illustrate that a major amount of information in this model still propagates ballistically on a light cone. We find a pronounced effect of the interaction range on the decay of the mutual information between spatially disconnected subsystems. A significant amount of information is shared at timelike separations. This regime is accompanied by very slow equilibration of local observables. As the Kitaev model is quasifree, we illustrate how the distribution of quasiparticle group velocities explains the physics of this system qualitatively.